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2120021012120 = 23511171637173137
BaseRepresentation
bin11110110110011011000…
…110010110111010011000
321111200010220112222200012
4132312123012112322120
5234213300334341440
64301531343501052
7306111045163214
oct36663306267230
97450126488605
102120021012120
117481066576a0
122a2a5a8b7788
13124bbcbc773b
1474876905944
153a22ec33e65
hex1ed9b196e98

2120021012120 has 128 divisors (see below), whose sum is σ = 5513184855360. Its totient is φ = 725121269760.

The previous prime is 2120021012077. The next prime is 2120021012129. The reversal of 2120021012120 is 212101200212.

It is a junction number, because it is equal to n+sod(n) for n = 2120021012095 and 2120021012104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120021012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12158192 + ... + 12331328.

Almost surely, 22120021012120 is an apocalyptic number.

2120021012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756592427680).

2120021012120 is an abundant number, since it is smaller than the sum of its proper divisors (3393163843240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2120021012120 is a wasteful number, since it uses less digits than its factorization.

2120021012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174813 (or 174809 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2120021012120 its reverse (212101200212), we get a palindrome (2332122212332).

The spelling of 2120021012120 in words is "two trillion, one hundred twenty billion, twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1637 1870 3274 3740 6548 7480 8185 13096 16370 18007 27829 32740 36014 55658 65480 72028 90035 111316 139145 144056 173137 180070 222632 278290 306119 346274 360140 556580 612238 692548 720280 865685 1113160 1224476 1385096 1530595 1731370 1904507 2448952 2943329 3061190 3462740 3809014 5886658 6122380 6925480 7618028 9522535 11773316 12244760 14716645 15236056 19045070 23546632 29433290 32376619 38090140 58866580 64753238 76180280 117733160 129506476 161883095 259012952 283425269 323766190 566850538 647532380 1133701076 1295064760 1417126345 2267402152 2834252690 3117677959 4818229573 5668505380 6235355918 9636459146 11337010760 12470711836 15588389795 19272918292 24091147865 24941423672 31176779590 38545836584 48182295730 53000525303 62353559180 96364591460 106001050606 124707118360 192729182920 212002101212 265002626515 424004202424 530005253030 1060010506060 2120021012120